SSC CPO 2025 PYQ — Question 126

SSC CPO - 10 Dec 2025 - Shift 1 • Quantitative Aptitude • Q126

If a² + b² = 100 and a − b = 4, find the value of ab.

Show answer & explanation

Correct answer: C

Explanation

a² + b² = 100

a − b = 4

According to the formula:

(a − b)² = a² + b² − 2ab

(4)² = 100 − 2ab

16 = 100 − 2ab

2ab = 100 − 16

2ab = 84

ab = 42